Count using the binary number system

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Binary is the name of the base 2 number system. What it means, is that you only have 2 different symbols for expressing numbers, namely 0 and 1.

In the decimal (base 10) number system which we normally use, we have 10 different symbols: 0 through 9. The formula to convert any base to base 10 is summing all digit positions with this formula: (base^position)*digitvalue. The position always start at 0 on the far right side.

For example, the decimal number 8597 is equivalent to:
(10^3)*8 + (10^2)*5 + (10^1)*9 + (10^0)*7 = 1000*8 + 100*5 + 10*9 + 1*7 = 8597 decimal.

In binary, the number 110101 can with this method be converted to decimal like this:
(2^5)*1 + (2^4)*1 + (2^3)*0 + (2^2)*1 + (2^1)*0 + (2^0)*1 = 32*1 + 16*1 + 8*0 + 4*1 + 2*0 + 1*1 = 32 + 16 + 4 + 1 = 53 decimal.

So let's start and see how many nerds I can attract with this...

1

0001
0010
0011
0100
I think we had a count in Binary thread running a few months ago......

Ah ok... That sucks.

old joke:

there are 10 kinds of people. those who can count in binary and those who cannot.

most likely available on a t-shirt on thinkgeek.

Binary is all very well, but why not do it in hexidecimal ?

0
1
2
3
4
5
6
7
8
9
A
B
C
D
E
F

_________________
Health is a state of physical, mental and social wellbeing and not merely the absence of disease or infirmity I am not a jigsaw, I am a free man !

Diagnosed under the DSM5 rules with autism spectrum disorder, under DSM4 psychologist said would have been AS (299.80) but I suspect that I am somewhere between 299.80 and 299.00 (Autism) under DSM4.

To continue the thread:
101
110
111
1000

What happened to the last binary thread?

1010